By Shigeo Koshitani and İPek Tuvay

We present a sufficient condition for the $kG$-Scott module with vertex $P$ to remain indecomposable under the Brauer construction for any subgroup $Q$ of $P$ as $k[Q\,C_G(Q)]$-module, where $k$ is a field of characteristic $2$, and $P$ is a semidihedral $2$-subgroup of a finite group $G$. This generalizes results for... Show more

August 17, 2019

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The Brauer indecomposability of Scott modules with semidihedral vertex

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